9 An obstruction and B as shown in Figure 2332 Distances AE

9. An obstruction and B as shown in Figure 23-32. Distances AE, ED, measured. Determine lies between points A BB, and EC are measured and marked off as shown. Distance CD is distance AB 30 m C/ 10m 15 m 12 m 25 m FIGURE 23-32

Solution

In triangle DEC and AEB,

DE/EA = 12/30 = 2/5

EC/EB = 10/25 = 2/5

Hence --- DE/EA = EC/EB

So there triangles are congruent.

Hence ----

DE/EA = EC/EB = CD/AB = 2/5

CD/AB = 2/5

15/AB = 2/5

AB = 15×5/2

AB = 75/2

AB = 37.5 m